Question

which of the following is equivalent to (72 - (-84) + (-22))?

a. -34
b. 10
c. 134
d. 178

Explanation:

Identify the given expression

We are given the following numerical expression to evaluate:

$$ 72 - (-84) + (-22) $$

Simplify the subtraction of a negative number

Using the Order of Operations and Evaluating Expressions knowledge points

$$ 72 - (-84) = 72 + 84 $$

Perform the addition

Using the Evaluating Expressions knowledge point

$$ 72 + 84 = 156 $$

Add the remaining negative number

Using the Evaluating Expressions knowledge point

$$ 156 + (-22) = 156 - 22 = 134 $$

Answer:

• (A) -34
• (B) 10
• (C) 134 (Correct answer)
• (D) 178